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Simplifying 9 + 2(x + 5) = -3(3x + 12) Reorder the terms: 9 + 2(5 + x) = -3(3x + 12) 9 + (5 * 2 + x * 2) = -3(3x + 12) 9 + (10 + 2x) = -3(3x + 12) Combine like terms: 9 + 10 = 19 19 + 2x = -3(3x + 12) Reorder the terms: 19 + 2x = -3(12 + 3x) 19 + 2x = (12 * -3 + 3x * -3) 19 + 2x = (-36 + -9x) Solving 19 + 2x = -36 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 19 + 2x + 9x = -36 + -9x + 9x Combine like terms: 2x + 9x = 11x 19 + 11x = -36 + -9x + 9x Combine like terms: -9x + 9x = 0 19 + 11x = -36 + 0 19 + 11x = -36 Add '-19' to each side of the equation. 19 + -19 + 11x = -36 + -19 Combine like terms: 19 + -19 = 0 0 + 11x = -36 + -19 11x = -36 + -19 Combine like terms: -36 + -19 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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